3 papers
math.NT2026
Statistics of the Genus Number of and -fields
Anup B. Dixit, Sunil Kumar Pasupulati
The genus number of a number field is a fundamental invariant which measures the contribution of ramification to its ideal class group. In this paper, we establish the statistics f…
math.NT2025
Euclidean Algorithms for Ideal Classes in Biquadratic fields: A Genus-Theoretic Perspective
Sunil Kumar Pasupulati
We study Euclidean ideal classes in real biquadratic fields and obtain unconditional existence results via genus theory. Lenstra showed (assuming the Generalized Riemann Hypothesis…
math.NT2023
A collage of results on the divisibility and indivisibility of class numbers of quadratic fields
Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati, Muneeswaran R
The investigation of the ideal class group of an algebraic number field is one of the key subjects of inquiry in algebraic number theory since it encodes a lot of arithm…